Big Idea: Understand what happens if we effect the rule in any way. Like subtraction, add, multiply and divide with its result.
Essential Question:
EQ2 What is the same and what is different about “similar” figures?
The similarities physical figures that they have the same are angle degrees and mathematical shape. They are different because it has different length, width, are and perimeter.
Hat 1
Hat 2
Hat 3
Ha t4
Ha 5
Hat 6
Point
x, y
x+2, y+2
x+3, y-1
2x, y+2
2x, 3x
0.5x, 0.5y
A
(0, 4)
(2, 6)
(3, 3)
(0, 6)
(0, 12)
(0, 2)
B
0, 1
2, 3
3, 0
0, 3
10, 3
0, 0.5
C
6, 1
8, 3
9, 0
12, 3
12, 3
3, 0.5
D
4, 2
6, 4
7, 1
8, 4
8, 6
2, 1
E
4, 4
6, 6
7, 3
8, 6
8, 12
2, 2
F
3, 5
5, 7
6, 4
6, 7
6, 15
1.5, 2.5
G
1, 5
3, 7
4, 4
2, 7
2, 15
0.5, 2.5
H
0, 4
2, 6
3, 3
0, 6
0, 12
0, 2
Problem 2.3
Use the table and dot paper grids on Lab sheets 2.3A and 2.3B
*To make Mug's hat, plot points A-H from the Hat1 Column on the grid labeled Hat 1, connecting the points as you go
For Hats 2-6, use the rules in the table to fill in the coordinates for each column. Then, plot each hat on the appropriate grid, connecting the points as you go.
FU
1. What rule would make a hat with line segments 1/3 the length of hat 1's line segment?
(0.33x, 0.33y) with Hat 1 equals is A= 0,1.3
2. What happens to a figure on a coordinate grid when you add to or subtract from it's coordinates?
They will move to the same amount of unit as how much it will add or subtract. Subtracting will end up moving closer to 0 while adding will move farther from 0.
3. What rule would make a hat the same size as Hat 1 but moved up 2 units on the grid?
(x+2, y+2)
4. What rule would make a hat with the line segments twice as long as Hat 1's line segements and moved 8 units to the right.
Oct28
Big Idea: Understand what happens if we effect the rule in any way. Like subtraction, add, multiply and divide with its result.
Essential Question:
EQ2 What is the same and what is different about “similar” figures?
The similarities physical figures that they have the same are angle degrees and mathematical shape. They are different because it has different length, width, are and perimeter.
Problem 2.3
Use the table and dot paper grids on Lab sheets 2.3A and 2.3B
*To make Mug's hat, plot points A-H from the Hat1 Column on the grid labeled Hat 1, connecting the points as you go
FU
1. What rule would make a hat with line segments 1/3 the length of hat 1's line segment?
(0.33x, 0.33y) with Hat 1 equals is A= 0,1.3
2. What happens to a figure on a coordinate grid when you add to or subtract from it's coordinates?
They will move to the same amount of unit as how much it will add or subtract. Subtracting will end up moving closer to 0 while adding will move farther from 0.
3. What rule would make a hat the same size as Hat 1 but moved up 2 units on the grid?
(x+2, y+2)
4. What rule would make a hat with the line segments twice as long as Hat 1's line segements and moved 8 units to the right.
(2x+8, 2y+8)